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1221133331 = 11271307463
BaseRepresentation
bin100100011001001…
…0000010000010011
310011002210000000102
41020302100100103
510000102231311
6321101043015
742155314325
oct11062202023
93132700012
101221133331
11577330600
122a0b5646b
13165cb3702
14b8271615
157231243b
hex48c90413

1221133331 has 24 divisors (see below), whose sum is σ = 1368525312. Its totient is φ = 1088564400.

The previous prime is 1221133313. The next prime is 1221133351. The reversal of 1221133331 is 1333311221.

It is not a de Polignac number, because 1221133331 - 218 = 1220871187 is a prime.

It is a super-2 number, since 2×12211333312 = 2982333224158311122, which contains 22 as substring.

It is not an unprimeable number, because it can be changed into a prime (1221133351) by changing a digit.

It is a polite number, since it can be written in 23 ways as a sum of consecutive naturals, for example, 2637206 + ... + 2637668.

It is an arithmetic number, because the mean of its divisors is an integer number (57021888).

Almost surely, 21221133331 is an apocalyptic number.

1221133331 is a gapful number since it is divisible by the number (11) formed by its first and last digit.

1221133331 is a deficient number, since it is larger than the sum of its proper divisors (147391981).

1221133331 is a wasteful number, since it uses less digits than its factorization.

1221133331 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 863 (or 852 counting only the distinct ones).

The product of its digits is 324, while the sum is 20.

The square root of 1221133331 is about 34944.7182132007. The cubic root of 1221133331 is about 1068.8605014799.

Adding to 1221133331 its reverse (1333311221), we get a palindrome (2554444552).

The spelling of 1221133331 in words is "one billion, two hundred twenty-one million, one hundred thirty-three thousand, three hundred thirty-one".

Divisors: 1 11 71 121 307 463 781 3377 5093 8591 21797 32873 37147 56023 142141 239767 361603 1563551 2637437 3977633 10092011 17199061 111012121 1221133331